hate to be the one to say it, but...5weeks, how often are so seeing her?... like are you exclusive? ...is she dating other guys? ...have you made it clear that your only dating her?
she may be keeping you at a distance delibratly if her feelings were hurt by something you said while she was morning over her dog so early in the relationship...
...and i dont think its fair to hold the amount of money you spend on her/dates as a form of whats expected of her. It was your decidion to spend money, no one forced you too and Im sure your expectations of her were not said to her ~ should she choose to accept you choosing to spend money on her.
alllll girls get bored in relationships that become predictable, if they tell you other wise they are full a crap and just saying what they think will make you happy. Not that its your job to make things fun and different (she should own that too) find out what her idea of fun is maybe and invite her to make plans for you guys to go out.
feel it out/ talk it out / before cashing out
